465790368 has 48 divisors (see below), whose sum is σ = 1243438560. Its totient is φ = 152630016.

The previous prime is 465790357. The next prime is 465790387. The reversal of 465790368 is 863097564.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35455 + ... + 46782.

It is an arithmetic number, because the mean of its divisors is an integer number (25904970).

Almost surely, 2^465790368 is an apocalyptic number.

465790368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

465790368 is an abundant number, since it is smaller than the sum of its proper divisors (777648192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

465790368 is a wasteful number, since it uses less digits than its factorization.

465790368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82309 (or 82301 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 465790368 is about 21582.1770912946. The cubic root of 465790368 is about 775.1697820186.

The spelling of 465790368 in words is "four hundred sixty-five million, seven hundred ninety thousand, three hundred sixty-eight".